{"paper":{"title":"Statistical properties of mostly contracting fast-slow partially hyperbolic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Carlangelo Liverani, Jacopo De Simoi","submitted_at":"2014-08-23T03:43:23Z","abstract_excerpt":"We consider a class of $\\mathcal C^{4}$ partially hyperbolic systems on $\\mathbb T^2$ described by maps $F_\\varepsilon(x,\\theta)=(f(x,\\theta),\\theta+\\varepsilon\\omega(x,\\theta))$ where $f(\\cdot,\\theta)$ are expanding maps of the circle. For sufficiently small $\\varepsilon$ and $\\omega$ generic in an open set, we precisely classify the SRB measures for $F_\\varepsilon$ and their statistical properties, including exponential decay of correlation for H\\\"older observables with explicit and nearly optimal bounds on the decay rate."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.5454","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}